Ax²+bx+c=0

The equation you've written, \( ax^2 + bx + c = 0 \), is a quadratic equation, where: - \( a \), \( b \), and \( c \) are coefficients, - \( x \) is the variable, - \( a \neq 0 \) (if \( a = 0 \), the equation becomes linear). To solve for \( x \), you can use the quadratic formula: \[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \] Here’s a breakdown of the components: - \( b^2 - 4ac \) is called the **discriminant**. It determines the nature of the roots of the quadratic equation: - If the discriminant is positive, there are two distinct real roots. - If the discriminant is zero, there is one real root (a repeated root). - If the discriminant is negative, there are two complex (imaginary) roots. If you need help with a specific problem or further explanation about solving or graphing quadratic equations, feel free to ask!